Tamagawa numbers of elliptic curves with torsion points

DOI10.1007/s00013-022-01722-4zbMath1503.11088arXiv2202.06235OpenAlexW4226028908WikidataQ112879305 ScholiaQ112879305MaRDI QIDQ2161403

Mentzelos Melistas

Publication date: 4 August 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.06235

zbMATH Keywords

elliptic curvetorsion pointTamagawa number

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Elliptic curves over local fields (11G07)

Uses Software

• SageMath
• LMFDB

Cites Work

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• Torsion and Tamagawa numbers
• Modular curves and the Eisenstein ideal
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• Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Park City lectures on elliptic curves over function fields
• Algebraic Function Fields and Codes
• The Arithmetic of Elliptic Curves
• Néron Models
• TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)
• Tamagawa Numbers of elliptic curves with 𝐶₁₃ torsion over quadratic fields
• Constructing elliptic curves over finite fields with prescribed torsion

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